
arXiv: 2007.02019
On a compact strictly pseudoconvex CR manifold $(M,��)$, we consider the CR Yamabe constant of its infinite conformal covering. By using the maximum principles, we then prove a uniqueness theorem for the CR Yamabe flow on a complete noncompact CR manifold. Finally we obtain some properties of the CR Yamabe soliton on complete noncompact CR manifolds.
To appear in NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Mathematics - Differential Geometry, CR structures, CR operators, and generalizations, CR Yamabe problem, CR Yamabe flow, Differential Geometry (math.DG), 32V05, 32V20, 53C44, FOS: Mathematics, Analysis on CR manifolds, soliton
Mathematics - Differential Geometry, CR structures, CR operators, and generalizations, CR Yamabe problem, CR Yamabe flow, Differential Geometry (math.DG), 32V05, 32V20, 53C44, FOS: Mathematics, Analysis on CR manifolds, soliton
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